442723632 has 80 divisors (see below), whose sum is σ = 1234608480. Its totient is φ = 135899136.

The previous prime is 442723627. The next prime is 442723643. The reversal of 442723632 is 236327244.

It is a junction number, because it is equal to n+sod(n) for n = 442723593 and 442723602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504378 + ... + 505254.

It is an arithmetic number, because the mean of its divisors is an integer number (15432606).

Almost surely, 2^442723632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442723632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617304240).

442723632 is an abundant number, since it is smaller than the sum of its proper divisors (791884848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442723632 is a wasteful number, since it uses less digits than its factorization.

442723632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1704 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 442723632 is about 21040.9988356066. The cubic root of 442723632 is about 762.1566352246.

The spelling of 442723632 in words is "four hundred forty-two million, seven hundred twenty-three thousand, six hundred thirty-two".